Answer:
r(2a²) = 16a⁴ - 6a² + 7
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right<u> </u>
<u>Algebra I</u>
- Functions
- Function Notation
- Exponential Rule [Powering]:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
r(x) = 4x² - 3x + 7
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em> [Function r(x)]: r(2a²) = 4(2a²)² - 3(2a²) + 7
- Exponential Rule [Powering]: r(2a²) = 4(2²a²⁽²⁾) - 3(2a²) + 7
- [Exponents] Multiply: r(2a²) = 4(2²a⁴) - 3(2a²) + 7
- Exponents: r(2a²) = 4(4a⁴) - 3(2a²) + 7
- Multiply: r(2a²) = 16a⁴ - 6a² + 7